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Finding the Fourth Proportional to 8,400.54, 12,592.02 and 3,133.43

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Solution

The fourth proportional to 8,400.54, 12,592.02 and 3,133.43 is: 4,696.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,400.54 : 12,592.02 = 3,133.43 : x
  2. Step 2: Convert to fraction form
    8,400.54/12,592.02 = 3,133.43/x
  3. Step 3: Cross multiply
    8,400.54x = 12,592.02 × 3,133.43
  4. Step 4: Simplify right side
    8,400.54x = 39,456,244.71
  5. Step 5: Solve for x
    x = 39,456,244.71/8,400.54
  6. Step 6: Final answer
    x = 4,696.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.